A central limit theorem via differential equations

Details A central limit theorem via differential equations A central limit theorem via differential equations

2009-06-23

arxiv.org/abs/0906.4202v1

Annals of Applied Probability 2009, Vol. 19, No. 2, 661-675

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/08-AAP557 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/08-AAP557

In a paper from 1995, Wormald gave general criteria for certain parameters in
a family of discrete random processes to converge to the solution of a system
of differential equations. Based on this method, we show that if some further
conditions are satisfied, the parameters converge to a multivariate normal
distribution.

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